Topological gapless matters in three-dimensional ultracold atomic gases

Xu, Yong

doi:10.1007/s11467-019-0896-1

Cited by 35 publications

(19 citation statements)

References 242 publications

(297 reference statements)

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“…Second, we show that the quantum metric uniquely characterizes nodal rings and nodal spheres, and thus that it represents a direct physical signature for these unusual topological defects. A measurement of the quantum metric can therefore provide a di-rect signature of topological nodal objects, which could complement spectroscopic measurements [50].…”

mentioning

confidence: 99%

Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric

Salerno

Goldman

Palumbo

2020

Phys. Rev. Research

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Semimetals exhibiting nodal lines or nodal surfaces represent a novel class of topological states of matter. While conventional Weyl semimetals exhibit momentum-space Dirac monopoles, these more exotic semimetals can feature unusual topological defects that are analogous to extended monopoles. In this work, we describe a scheme by which nodal rings and nodal spheres can be realized in synthetic quantum matter through well-defined periodic-driving protocols. As a central result of our work, we characterize these nodal defects through the quantum metric, which is a gauge-invariant quantity associated with the geometry of quantum states. In the case of nodal rings, where the Berry curvature and conventional topological responses are absent, we show that the quantum metric provides an observable signature for these extended topological defects. Besides, we demonstrate that quantum-metric measurements could be exploited to directly detect the topological charge associated with a nodal sphere. We discuss possible experimental implementations of Floquet nodal defects in few-level atomic systems, paving the way for the exploration of Floquet extended monopoles in quantum matter. arXiv:1912.00930v1 [cond-mat.mes-hall]

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confidence: 99%

Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric

Salerno

Goldman

Palumbo

2020

Phys. Rev. Research

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“…These topological phases all support robust edge states, which are counted by the corresponding topological invariant that capturing the topology of the bulk band [16][17][18]. The tremendous progresses in various platforms of photonics, acoustics, and electronic circuits allow us to study these topological phases in experiments, which provide crucial enlightenments for topological materials [19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Time-reversal symmetric topological metal

Xie,

Wu,

Jin

et al. 2021

Preprint

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Topological metals possess gapless band structures accompanied with nontrivial edge states. Topological metals are created from the topological insulators by adjusting the magnetic flux. Here we propose the time-reversal symmetry protected topological metal without employing the magnetic flux. Topological metallic phase presents although the Chern number vanishes. In the topologically nontrivial phase, three different cases in the metallic phase are distinguished from the band-touching and in-gap features of the topological edge states. These findings shed light on the time-reversal symmetric topological metals and greatly simplify the realization of topological metals.

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“…Recently, the exploration of topological phases has became an important research area in condensed matter physics [1][2][3][4][5] and various artificial systems, such as topological photonic and mechanic systems [6][7][8] and superconducting circuits [9][10][11][12]. In particular, ultracold atoms in optical lattices provide a powerful platform for quantum simulation of many-body physics and topological states of matter [13][14][15][16][17][18][19][20][21][22]. With the advances of synthetic gauge field and spin-orbit coupling for neutral atoms [23][24][25][26][27][28][29][30], various topological phases and phenomena have been achieved in cold atom experiments.…”

Section: Introductionmentioning

confidence: 99%

Simulating bosonic Chern insulators in one-dimensional optical superlattices

Chen

Zhang

et al. 2020

Phys. Rev. A

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We study the topological properties of an extended Bose-Hubbard model with cyclically modulated hopping and on-site potential parameters, which can be realized with ultracold bosonic atoms in a one-dimensional optical superlattice. We show that the interacting bosonic chain at half filling and in the deep Mott insulating regime can simulate bosonic Chern insulators with a topological phase diagram similar to that of the Haldane model of noninteracting fermions. Furthermore, we explore the topological properties of the ground state by calculating the many-body Chern number, the quasiparticle energy spectrum with gapless edge modes, the topological pumping of the interacting bosons, and the topological phase transition from normal (trivial) to topological Mott insulators. We also present the global phase diagram of the many-body ground state, which contains a superfluid phase and two Mott insulating phases with trivial and nontrivial topologies, respectively.

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Topological gapless matters in three-dimensional ultracold atomic gases

Cited by 35 publications

References 242 publications

Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric

Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric

Time-reversal symmetric topological metal

Simulating bosonic Chern insulators in one-dimensional optical superlattices

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